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The participants in a race consisted of 3 teams with 3 runners on each
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Updated on: 20 Jan 2015, 12:07

4

12

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

52%(02:33) correct 48%(02:33) wrong based on 248 sessions

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The participants in a race consisted of 3 teams with 3 runners on each team. A team was awarded 6 –n points if one of its runners finished in nth place, where 1 <= n <= 5. If all of the runners finished the race and if there were no ties, was each team awarded at least one point?

(1) No team was awarded more than a total of 6 points. (2) No pair of teammates finished in consecutive places among the top five places.

Re: The participants in a race consisted of 3 teams with 3 runners on each
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14 Jul 2009, 14:03

2

1

Ans will be A

STmt 1: points to be awarded are 1,2,3,4,5, ie, total of 15 points. This stmt says that no team won more than 6, So 2 teams can get max of 6 points, and still we will have 3 points left which must have gone to third team. Sufficient.

Stmt 2: No two teammates finished in consecutive places, ie, no two team members got consecutive points.It can be that Team A got 1,3, and 5 points, and B got 2 and 4 points and C got nothing. It can also be that A, B and C got 1,2 and 3 points respectively. So stmt 2 is insufficient.

Re: The participants in a race consisted of 3 teams with 3 runners on each
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31 Jul 2009, 09:13

The participants in a race consisted of 3 teams with 3 runners on each team. A team was awarded 6 –n points if one of its runners finished in nth place, where 1 <= n <= 5. If all of the runners finished the race and if there were no ties, was each team awarded at least one point?(1) No team was awarded more than a total of 6 points. (2) No pair of teammates finished in consecutive places among the top five places.

Re: The participants in a race consisted of 3 teams with 3 runners on each
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20 Jan 2015, 12:32

vannu wrote:

The participants in a race consisted of 3 teams with 3 runners on each team. A team was awarded 6 –n points if one of its runners finished in nth place, where 1 <= n <= 5. If all of the runners finished the race and if there were no ties, was each team awarded at least one point?

(1) No team was awarded more than a total of 6 points. (2) No pair of teammates finished in consecutive places among the top five places.

Highest point that can be awarded: 6-1 = 5Lowest point that can be awarded: 6-5 = 1

Sum of all the points: 5+4+3+2+1= 15

Statement-1: No team got more than 6 pointsNow even if two teams got 6 points each, 3 points will be left with third team.Thus sufficient

Statement-2 No pair of team mate finished consecutiveMembers can finish in following manner (For teams A,B,C)ABABA BCCC or ABCABCABC or any other patternSo not sufficient!